Question

an interior angle of a regular polygon had a measire of 180 what type of polygon is it

Answer 1

Answer:

Regular polygon with interior angle as $180^{\circ}$ is not possible.

Solution:

Need to find the type of regular polygon whose internal angle is $180^{\circ}$

Consider AB be the first side of the regular polygon and BC be the second side. Since required interior angle = $180^{\circ}$, so ∠ABC = $180^{\circ}$ that means ABC is a straight line.

Now let say CD be the third side of regular polygon of interior angle $180^{\circ}$. So ∠BCD =$180^{\circ}$, which means point ABCD are on same line .So we can say whenever we try to make a regular polygon of interior angle $180^{\circ}$. we get straight line only.

So closed curve is never possible with interior angle $180^{\circ}$

Hence regular polygon with interior angle as $180^{\circ}$ is not possible.